The outage probability will depend on the probability distribution of the channel gain random variable, \(\alpha (\omega )\) . For the widely used Rayleigh fading model, for which the channel gain follows a circularly symmetric complex normal distribution, \(\mathcal {CN}(0,1)\) , the outage probability can be shown to be equal to [1]}
\(p_{\mathrm {out}}(R,\mathrm {SNR}) = 1 - \mathrm {e}^{\frac{-(2^R - 1)}{\mathrm {SNR}}}.\) 
